Question 1

Which countries lead Algebra and Number Theory research?

Accepted Answer

On research quality in 2022-now, the United States, China and Germany rank highest in Algebra and Number Theory. By volume, China and the United States publish the most (2.3k and 2.1k works in 2022-now).

Question 2

Which institutions lead Algebra and Number Theory research?

Accepted Answer

Centre National de la Recherche Scientifique (France) ranks first in Algebra and Number Theory on research quality in 2022-now, followed by Aligarh Muslim University and Russian Academy of Sciences.

Question 3

Who are the leading researchers in Algebra and Number Theory?

Accepted Answer

Counting only their work in Algebra and Number Theory, George E. Andrews, Dae San Kim and Taekyun Kim have the most papers in the world top 10% for their subfield and year beyond the 10% expected.

Question 4

Where is Algebra and Number Theory research done?

Accepted Answer

The largest centres of Algebra and Number Theory research in 2022-now are Moscow (Russia), Beijing (China), Paris (France) and Tokyo (Japan). Among places with at least 20 works in it, it is an unusually large share of all research in Zhoukou.

Question 5

Where is the best place to study Algebra and Number Theory?

Accepted Answer

Among universities, judged by research, Massachusetts Institute of Technology, ETH Zurich and University of California, Berkeley score highest, combining standing in the field's ranking, citation excellence, specialisation, size, growth and international reach. Research strength is one signal when choosing where to study; it does not measure teaching.

Question 6

Is Algebra and Number Theory research growing?

Accepted Answer

Output in 2022-2025 was 14% higher than in 2018-2021, peaking in 2024. The fastest-growing topics are Analytic Number Theory Research, Advanced Topics in Algebra and Rings, Modules, and Algebras.

Question 7

What are the most cited papers in Algebra and Number Theory?

Accepted Answer

The most cited paper in Algebra and Number Theory is "The Magma Algebra System I: The User Language" (Wieb Bosma, John Cannon, Catherine Playoust, 1997), with 7,465 citations. Next come "Table of Integrals, Series, and Products" (4,749) and "Factoring polynomials with rational coefficients" (4,058).